March 11, 2024Open Access

Existence for a Nonlocal Multi-Species Advection Diffusion Equation

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Abstract

We establish short-time existence of bounded, smooth non-negative solutions to a multi-species advection diffusion equation for a wide class of singular interaction kernels. We also give conditions on the interaction matrix, whose coefficients determine species attraction or repulsion, which ensure global existence of solutions.

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Cozzi et al. (Mon,) studied this question.

synapsesocial.com/papers/68e74ba6b6db6435876c485b https://doi.org/https://doi.org/10.48550/arxiv.2403.07159

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